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Finding the Fourth Proportional to 9,337.32, 12,904.08 and 7,656.12

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Solution

The fourth proportional to 9,337.32, 12,904.08 and 7,656.12 is: 10,580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.32 : 12,904.08 = 7,656.12 : x
  2. Step 2: Convert to fraction form
    9,337.32/12,904.08 = 7,656.12/x
  3. Step 3: Cross multiply
    9,337.32x = 12,904.08 × 7,656.12
  4. Step 4: Simplify right side
    9,337.32x = 98,795,184.97
  5. Step 5: Solve for x
    x = 98,795,184.97/9,337.32
  6. Step 6: Final answer
    x = 10,580.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.